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- Title
Dynamics of a globally modified magnetohydrodynamics equations with double delay.
- Authors
Ngana, Aristide Ndongmo; Medjo, Theodore Tachim; Djomegni, Patrick Mimphis Tchepmo
- Abstract
In this paper, we study a globally modified system of Magnetohydrodynamics (MHD) equations in a three-dimensional domain, incorporating double delays in both the forcing and convective terms. The modification is made by means of cut-off functions that multiply the convective terms with delays of the equations, and this modification of the classical MHD equations results in more regular solutions, which depend continuously on the initial conditions and the parameters associated with the cut-off functions. Thus, we establish the existence and uniqueness of strong solutions, as well as the existence and uniqueness of pullback attractors for the modified system. Furthermore, using the generalized Banach limit argument, we construct a family of invariant Borel probability measures, which are supported on the pullback attractors.
- Subjects
INVARIANT measures; PROBABILITY measures; MAGNETOHYDRODYNAMICS; EQUATIONS; ARGUMENT
- Publication
Communications on Pure & Applied Analysis, 2025, Vol 24, Issue 4, p1
- ISSN
1534-0392
- Publication type
Academic Journal
- DOI
10.3934/cpaa.2025009